SAT Practice Questions: Finding Volume - dummies

SAT Practice Questions: Finding Volume

By Ron Woldoff

The SAT Math exam will probably ask you to calculate the volume of a three-dimensional shape, like a cube, sphere, or pyramid. Or, as in the following practice questions, it will ask you to find the total volume of two combined shapes.

Practice questions

Both questions are based on the following information.

sat1001_volume

  1. What is the volume of the cotton candy machine in terms of pi?
    SAT1001_eq1101
  2. Which is closest to the volume of the cotton candy machine in cubic feet?
    A. 20
    B. 30
    C. 40
    D. 50

Answers and explanations

  1. The correct answer is Choice (A).
    Per the formula bar at the beginning of the SAT’s Math section, you can find the volumes of a right circular cone and cylinder with
    SAT1001_eq1102
    The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:
    SAT1001_eq1103
    Then the cylinder:
    SAT1001_eq1104
    Now add the volumes together:
    SAT1001_eq1105
  2. The correct answer is Choice (D).
    Per the formula bar at the beginning of the SAT’s Math section, you can find the volumes of a right circular cone and cylinder with
    SAT1001_eq1106
    The radius of each is 2, and the height of each is 3. Plug the numbers into the formulas and add the results together. First the cone:
    SAT1001_eq1107
    Then the cylinder:
    SAT1001_eq1108
    Now add them together and multiply by 3.14 for pi:
    SAT1001_eq1109